Sh:1048

• Shelah, S. (2020). The Hanf number in the strictly stable case. MLQ Math. Log. Q., 66(3), 280–294. arXiv: 1412.0428 DOI: 10.1002/malq.201900021 MR: 4174105
• Abstract:
  Suppose \mathbf {t} = (T, T_1, p) is a triple of two theories in vocabularies \tau \subset \tau_1 of cardinality \lambda and a \tau_1-type p over the empty set: here we fix T and assume it is stable. We show the Hanf number for the property: “there is a model M_1 of T_1 which omits p, but M_1\restriction \tau is saturated" is larger than the Hanf number of L_{\lambda^+, \kappa} but smaller than the Hanf number of L_{(2^\lambda)^+, \kappa} when T is stable with \kappa = \kappa(T).
• Version 2019-10-28_12 (25p) published version (15p)

@article{Sh:1048,
 author = {Shelah, Saharon},
 title = {{The Hanf number in the strictly stable case}},
 journal = {MLQ Math. Log. Q.},
 fjournal = {MLQ. Mathematical Logic Quarterly},
 volume = {66},
 number = {3},
 year = {2020},
 pages = {280--294},
 issn = {0942-5616},
 mrnumber = {4174105},
 mrclass = {03C75 (03C45 03C50 03C55)},
 doi = {10.1002/malq.201900021},
 note = {\href{https://arxiv.org/abs/1412.0428}{arXiv: 1412.0428}},
 arxiv_number = {1412.0428}
}